Maybe your obsession is just a very strong form of hope? Sometimes when we hope for something so bad we label it as an obsession. Then if we try to get rid of our obsession, we have to get rid of hope.
For myself, I do find that I obsess over friendships and relationships, so much so that it tends to dominate my thoughts. But I think thats only because I want them so bad, yet are unable to function in a way that makes them possible. It seems so easy for others, yet I would feel like I won the lottery if it were to happen to me. But, I cannot give up on them because I want them so badly, and if I stopped hoping for them then there would be no point in living. Two terrible things for some people to be torn between, either give up hope, or torture ourselves with it.